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Finding the Fourth Proportional to 949.73, 1,310.59 and 556.75

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Solution

The fourth proportional to 949.73, 1,310.59 and 556.75 is: 768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.73 : 1,310.59 = 556.75 : x
  2. Step 2: Convert to fraction form
    949.73/1,310.59 = 556.75/x
  3. Step 3: Cross multiply
    949.73x = 1,310.59 × 556.75
  4. Step 4: Simplify right side
    949.73x = 729,664.43
  5. Step 5: Solve for x
    x = 729,664.43/949.73
  6. Step 6: Final answer
    x = 768.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.